Jarak Waktu dan Kecepatan

<div dir="ltr" style="text-align: left;" trbidi="on"><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Jarak Waktu dan Kecepatan. Kecepatan adalah besaran yang diperoleh dari jarak tempuh suatu benda (orang) dibagi waktu yang diperlukan untuk menempuh jarak tersebut. Kecepatan dapat diukur secara langsung menggunakan alat yang dinamakan spedometer. Spedometer terdapat pada kendaraan bermotor dan kendaraan roda empat. Alat ini berguna untuk menunjukkan kecepatan kendaraan pada saat melaju di jalan. Satuan kecepatannya km/jam. Jarak suatu tempat dinyatakan dengan satuan ukuran baku meter (m). Satuan lainya adalah hektometer (hm), dekameter (dam), desimeter (dm), centimeter(cm), dan milimeter(mm). Hubungan antar satuan panjang naik 1 satuan dibagi 10, turun 1 satuan dikali 10 seperti ditunjukkan gambar di bawah ini</span><span style="font-family: Georgia, 'Times New Roman', serif;">.</span></div><div style="text-align: justify;"><span style="text-align: left;"><span style="font-family: Georgia, Times New Roman, serif;"> <table border="0px solid rgb(255, 153, 0)" cellpadding="0" cellspacing="0" style="background-color: #f8f8f8; border-collapse: collapse; border: 1px solid rgb(255, 153, 0); margin: 0em 0em 0em 0em; text-align: justify;"><tbody><tr><td colspan="6" style="text-align: center;" valign="top"></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" valign="top"><span style="font-family: Georgia, Times New Roman, serif; width: 30px;"> </span><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>km </td><td colspan="6" style="text-align: center;" valign="top"></td><td rowspan="13" style="text-align: center;" valign="top"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhotLo95NmJ5DGUh4tsFJQx_ckCg2qi7iNL4r_wu3-mYEvXPk_z2iuseAwHfxz16GLnDDy8Ql2pZzrP5h2jS6JD-Gd4sdtXOVKYs-QWz4088nNOnOnAcjjWYkJrDfy8aBxHl9cV85MRdnHx/s1600/kecepatan.png" imageanchor="1" style="margin-left: 0.1em; margin-right: 0.1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhotLo95NmJ5DGUh4tsFJQx_ckCg2qi7iNL4r_wu3-mYEvXPk_z2iuseAwHfxz16GLnDDy8Ql2pZzrP5h2jS6JD-Gd4sdtXOVKYs-QWz4088nNOnOnAcjjWYkJrDfy8aBxHl9cV85MRdnHx/s1600/kecepatan.png" /></a></div><br /></td></tr><tr><td colspan="5" style="text-align: center;" valign="top"></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-right-style: solid; border-right-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>hm </span></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-left-style: solid; border-left-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"> hm</span></td><td colspan="5" style="text-align: center;" valign="top"></td></tr><tr><td colspan="4" style="text-align: center;" valign="top"></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-right-style: solid; border-right-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>dam </span></td><td style="background-color: gold; background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><span style="color: #f3f3f3;"> </span> <span style="color: #f3f3f3;"> </span></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-left-style: solid; border-left-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"> dam</span></td><td colspan="4" style="text-align: center;" valign="top"><br /></td></tr><tr><td colspan="3" style="text-align: center;" valign="top"></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-right-style: solid; border-right-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>m   </span></td><td style="background-color: gold; text-align: center;" valign="top"><span style="color: #f3f3f3;"> </span> <span style="color: #f3f3f3;"> </span></td><td style="background-color: gold; text-align: center;" valign="top"><span style="color: #f3f3f3;"> </span> <span style="color: #f3f3f3;"> </span></td><td style="background-color: gold; text-align: center;" valign="top"><span style="color: #f3f3f3;">  </span></td><td style="background-color: gold; text-align: center;" valign="top"><span style="color: #f3f3f3;"> </span> <span style="color: #f3f3f3;"> </span></td><td style="background-color: gold; text-align: center;" valign="top"> <span style="color: #f3f3f3;"> </span></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-left-style: solid; border-left-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;">   m </span></td></tr><tr><td colspan="2" style="text-align: center;" valign="top"><br /></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-right-style: solid; border-right-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>dm  </span></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-left-style: solid; border-left-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;">   dm</span></td><td colspan="2" style="text-align: center;" valign="top"></td></tr><tr><td style="text-align: center;" valign="top"></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-right-style: solid; border-right-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>cm  </span></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top">  </td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-left-style: solid; border-left-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;">   cm</span></td><td style="text-align: center;" valign="top"></td></tr><tr><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-right-style: solid; border-right-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;"><span style="font-family: 'Times New Roman'; text-align: left;">↗</span>mm </span></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="text-align: center;" valign="top"><span style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; border-left-style: solid; border-left-width: 2px; font-family: Georgia, Times New Roman, serif; width: 30px;">  mm</span></td></tr><tr><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td><td style="background-color: gold; text-align: center;" valign="top"><br /></td></tr></tbody></table></span></span> <span style="text-align: left;"><span style="font-family: Georgia, Times New Roman, serif;">Satuan waktu yang umum digunakan adalah jam, menit, dan detik. Hubungan antar satuan waktu seperti ditunjukan di bawah ini :</span></span></div><div style="text-align: justify;"><ul><li><span style="font-family: Georgia, Times New Roman, serif; text-align: left;">1 Jam </span><span style="text-align: left;">→</span><span style="font-family: Georgia, Times New Roman, serif; text-align: left;"> 60 menit </span><span style="text-align: left;">→</span><span style="font-family: Georgia, Times New Roman, serif; text-align: left;">3.600 detik.</span></li></ul></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Secara umum dapat ditulis, </span><span style="font-family: Georgia, 'Times New Roman', serif;">Misal kecepatan dilambangkan dengan v, jarak tempuh = s dan waktu tempuh = t maka rumus kecepatan dapat ditulis sebagai berikut :</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 235px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, Times New Roman, serif;">atau v =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">s</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">t</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;">Dari rumus di atas diperoleh :</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Jarak = Kecepatan x Waktu atau s = v x t</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 235px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, Times New Roman, serif;">atau t =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">s</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">v</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;"><b><i><br /></i></b></span> <span style="font-family: Georgia, Times New Roman, serif;"><b><i>Contoh Soal mencari kecepatan :</i></b></span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">1. Seorang pelari menempuh jarak 8 km dalam waktu 30 menit. Kecepatan rata-rata pelari tersebut adalah...km/jam.</span></div><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Diketahui : Jarak = 8 km; waktu = 30 menit (ubah ke jam ) = </span><span style="font-family: Georgia, 'Times New Roman', serif;">½ </span><span style="font-family: Georgia, 'Times New Roman', serif;">jam. Ditanyakan kecepatan.</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 325px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8 km</span></td><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">= 4 km/jam</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: left;">½ </span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: left;">jam</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">2. Sebuah bus berangkat dari Bandung pukul 08.40 WIB menuju Jakarta. Jarak antara Bandung-Jakarta 180 km. Jika bus tiba di kota Jakarta pukul 11.10 WIB, kecepatan rata-rata bus adalah...km/jam.</span></div><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diketahui : waktu = 11.10 - 08.40 = 2 jam 30 menit atau 2 </span><span style="font-family: Georgia, 'Times New Roman', serif;">½ </span><span style="font-family: Georgia, 'Times New Roman', serif;">jam. Jarak = 180 km. Ditanyakan kecepatan.</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 335px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">180 km</span></td><td rowspan="2" style="text-align: center;" width="80px"><span style="font-family: Georgia, Times New Roman, serif;">= 72 km/jam</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: left;">2½ </span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: left;">jam</span></td></tr></tbody></table><div style="text-align: justify;"><br /></div><span style="font-family: Georgia, Times New Roman, serif;"><b><i>Contoh Soal mencari jarak :</i></b></span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">1. Paman pergi ke kota mengendarai sepeda motor. Ia berangkat dari rumah pukul 12.45 dan sampai di kota pukul 13.05. Jika ia melaju dengan kecepatan rata-rata 48 km/jam, jarak dari rumah paman ke kota adalah ...km.</span></div><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diketahui : waktu = 13.05 - 12.45 = 20 menit atau </span><span style="text-align: left;"><span style="font-family: Georgia, Times New Roman, serif;">⅓</span></span><span style="font-family: Georgia, Times New Roman, serif;"> jam (ubah waktu ke jam karena kecepatan dalam satuan km/jam). Ditanyakan jarak.</span></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Jarak = Kecepatan x Waktu = 48 km/jam x </span><span style="font-family: Georgia, 'Times New Roman', serif; text-align: left;">⅓</span><span style="font-family: Georgia, 'Times New Roman', serif;"> jam = 16 km. Jadi jarak dari rumah paman ke kota adalah 16 km.</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">2. Pak Abdul mengendarai sepeda motor dengan kecepatan rata-rata 60 km/jam. Apabila pak Abdul berangkat dari rumah pukul 06.30 dan sampai di kantor pukul 07.15, jarak antara rumah pak Abdul dan kantor adalah....km.</span></div><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diketahui : Kecepatan = 60 km/jam. Waktu = 07.15 - 06.30 = 45 menit atau </span><span style="font-family: Georgia, 'Times New Roman', serif;">¾ jam. Ditanyakan jarak.</span></div><span style="font-family: Georgia, 'Times New Roman', serif; text-align: justify;">Jarak = Kecepatan x Waktu = 60 km/jam x </span><span style="font-family: Georgia, 'Times New Roman', serif; text-align: justify;">¾ jam = 45 km. Jadi jarak dari rumah pak Abdul ke kantor adalah 45  km.</span><br /><span style="font-family: Georgia, 'Times New Roman', serif; text-align: justify;"><br /></span> <span style="font-family: Georgia, Times New Roman, serif;"><b><i>Contoh Soal mencari waktu </i></b>:</span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">1. Sebuah mobil berangkat dari kota P ke kota Q dengan kecepatan rata-rata 70 km/jam. Jarak kota P ke kota Q 175 km. Jika mobil tiba di kota Q pukul 12.00, mobil tersebut berangkat dari kota P pukul...</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diketahui : Jarak 175 km; Kecepatan 70 km/jam. Ditanyakan waktu.</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 465px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">175 km</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">= 2</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">1</span></td><td rowspan="2" style="text-align: center;" width="160px"><span style="font-family: Georgia, Times New Roman, serif;">jam = 2 jam 30 menit</span></td></tr><tr><td style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan</span></td><td style="text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">70 km/jam</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">2</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">2 Jam 30 menit sebelum pukul 12.00 adalah pukul 09.30. Jadi mobil berangkat dari kota P pukul 09.30.</span><br /><span style="font-family: Georgia, Times New Roman, serif;"><br /></span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">2. Jarak kota A dan kota B 240 km. Sebuah bus berangkat dari kota A pukul 16.00 WIB. Di perjalanan bus beristirahat selama 30 menit. Bus tersebut melaju dengan kecepatan rata-rata 60 km/jam, maka bus tersebut akan tiba di kota B pukul...WIB.</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diketahui : Jarak = 240 km; kecepatan = 60 km/jam. Ditanyakan waktu.</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 615px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">240 km</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">= 4</span></td><td rowspan="2" style="text-align: center;" width="330px"><span style="font-family: Georgia, Times New Roman, serif;">jam + </span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">½</span><span style="font-family: Georgia, Times New Roman, serif;"> jam = 4 </span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">½ </span><span style="font-family: Georgia, 'Times New Roman', serif;">jam atau 4 jam 30 menit</span></td></tr><tr><td style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan</span></td><td style="text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">60 km/jam</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">16.00 + 4 Jam 30 = 20.30. Jadi mobil berangkat dari kota P pukul 20.30.</span><br /><span style="font-family: Georgia, Times New Roman, serif;"><br /></span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">3. Jarak kota A-B 275 Km. Rangga naik mobil dari kota A menuju kota B berangkat pukul 07.05 dengan kecepatan rata-rata 52 km/jam. pada waktu bersamaan Bimo naik mobil dari kota B menuju kota A dengan kecepatan rata-rata 58 km/jam. jika melalui jalan yang sama dan semua lancar, pada pukul berapakah mereka akan berpapasan  ?</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diketahui :   Jarak (s) kota A ke kota B  =  275 km                  </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">                      Berangkat bersama pukul 07.05                  </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">                      Rangga berangkat dari kota A ke kota B :  v = 52 km/jam                  </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">                      Bima berangkat dari kota B ke kota A :  v = 58 km/jam </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Ditanya : Pukul berapa mereka papasan ? </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Jawab :</span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Langkah pertama adalah kita hitung dulu kecepatan total A dan B </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Maka : kecepatan total =  Kecepata Rangga + Kecepatan Bima                                  </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">                                         =   52 km/jam  +  58 km/jam                                  </span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">                                         =  110 km/jam </span></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Kita masukan ke dalam rumus :  </span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 495px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">275 km</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">=2,5 </span></td><td rowspan="2" style="text-align: center;" width="210px"><div style="text-align: left;"><span style="font-family: Georgia, 'Times New Roman', serif;">jam atau 2 jam 30 menit</span></div></td></tr><tr><td style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan</span></td><td style="text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">110 km/jam</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Mereka akan bertemu setelah 2,5 jam berangkat. </span><span style="font-family: Georgia, 'Times New Roman', serif;">Maka diperoleh 07.05 + 2.30  = pukul 09.35 mereka akan bertemu.</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;"><br /></span> <span style="font-family: Georgia, 'Times New Roman', serif;">4. Dengan kecepatan berlari 20 m/menit, Andi dapat mengelilingi lapangan dalam waktu 7,5 menit. Jika kecepatan berlari Andi ditingkatkan menjadi 25 m/menit, Andi dapat mengelilingi lapangan yang sama dalam waktu...menit.</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Pembahasan :</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Mencari jarak : </span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Jarak = Kecepatan x waktu = 20 m/menit x 7,5 = 150 m (keliling lapangan 150 m)</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Kecepatan menjadi 25 m/menit sehingga waktu tempuh :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 495px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">150 m</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">= 6 </span></td><td rowspan="2" style="text-align: center;" width="210px"><div style="text-align: left;"><span style="font-family: Georgia, 'Times New Roman', serif;">menit</span></div></td></tr><tr><td style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan</span></td><td style="text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">25 m/menit</span></td></tr></tbody></table></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Jadi Andi dapat mengelilingi lapangan dalam waktu 6 menit.</span><br /><span style="font-family: Georgia, Times New Roman, serif;"><br /></span><span style="font-family: Georgia, Times New Roman, serif;">5. Dani bersepeda motor menuju kota kudus dengan kecepatan 50 km/jam. Sejauh 8 km dibelakangnya, </span><span style="font-family: Georgia, 'Times New Roman', serif;">Satrio dengan mengendarai sebuah mobil bergerak dengan kecepatan 80 km/jam. Satrio akan </span><span style="font-family: Georgia, 'Times New Roman', serif;">menyusul Dani dalam waktu .... menit</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Pembahasan :</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Diketahui : </span><br /><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan Dani    =  50 km/jam</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan Satrio  =  80 km/jam</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Jarak (Dani dan Satrio) = 8 km</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Ditanyakan : waktu menyusul (t)= .....menit </span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Jawab :</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Pertama mencari selisih kecepatan terlebih antara Dani dan Satrio, sehingga : </span><br /><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan (selisih) = V Satrio - V Dani </span><br /><span style="font-family: Georgia, Times New Roman, serif;">                                  = 80 km/jam - 50 km/jam</span><br /><span style="font-family: Georgia, Times New Roman, serif;">                                  = 30 km/jam</span><br /><span style="font-family: Georgia, Times New Roman, serif;">Maka waktu menyusul : </span><br /><div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 495px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">Waktu =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Jarak</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">8 km</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">= 4 </span></td><td rowspan="2" style="text-align: center;" width="210px"><div style="text-align: left;"><span style="font-family: Georgia, 'Times New Roman', serif;">/15 jam</span></div></td></tr><tr><td style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">Kecepatan</span></td><td style="text-align: center;" width="90px"><span style="font-family: Georgia, Times New Roman, serif;">30 km/jam</span></td></tr></tbody></table></div><span style="font-family: Georgia, Times New Roman, serif;">Jadi waktu yang diperlukan untuk menyusul adalah 4/15  x 60 = 16 menit</span></div></div>

Jarak Waktu dan Kecepatan

Jarak Waktu dan Kecepatan. Kecepatan adalah besaran yang diperoleh dari jarak tempuh suatu benda (orang) dibagi waktu yang diperlukan untuk ...

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Operasi Hitung Campuran Pecahan Berbeda Bentuk

<div dir="ltr" style="text-align: left;" trbidi="on"><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Operasi Hitung Campuran Pecahan Berbeda Bentuk. Pengerjaan hitung bilangan pecahan meliputi penjumlahan, pengurangan, perkalian, dan pembagian. Pengerjaan hitung campuran pecahan adalah pengerjaan hitung yang melibatkan lebih dari satu pengerjaan hitung bilangan pecahan. Jika pecahan-pecahan tersebut memiliki bentuk yang sama tentunya akan lebih mudah dikerjakan, namun apabila bilangan-bilangan pecahan tersebut berbeda bentuk tentu harus disamakan bentuknya terlebih dahulu. Untuk dapat mengerjakan pengerjaan hitung campuran bilangan pecahan, ada beberapa hal yang harus diperhatikan, yaitu urutan pengerjaan hitung itu sendiri. Seperti pada pengerjaan hitung campuran bilangan bulat, urutan pengerjaan hitung bilangan pecahan juga memiliki urutan sebagai berikut :</span></div><div style="text-align: justify;"></div><ul><li style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Pengerjaan dalam tanda kurung dikerjakan terlebih dahulu. <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDQmQ5r3mJ-W67lenCIqXhExVs5SBBlB5EkedmC2yqMwOD_J8bfxnIUPf_WORMZqeppsCNMrlnQCG3Rbla3miQuz5TG21PshaZL7Sr-Z_ZuWvn7aTORSW3WTCEkjoi3hwClZMEowEjtlj-/s1600/pecahan.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 0.1em; margin-left: 0.1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDQmQ5r3mJ-W67lenCIqXhExVs5SBBlB5EkedmC2yqMwOD_J8bfxnIUPf_WORMZqeppsCNMrlnQCG3Rbla3miQuz5TG21PshaZL7Sr-Z_ZuWvn7aTORSW3WTCEkjoi3hwClZMEowEjtlj-/s1600/pecahan.png" /></a></div></span></li><li style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Perkalian dan pembagian mempunyai kedudukan yang lebih kuat dibandingkan dengan penjumlahan dan pengurangan.</span></li><li style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Perkalian dan pembagian memiliki kedudukan yang sama, artinya pengerjaan perkalian dan pembagian dilakukan terlebih dahulu. Apabila dalam pengerjaan hitung terdapat perkalian dan pembagian, maka yang dikerjakan terlebih dahulu adalah pengerjaan sebelah kiri dahulu.</span></li><li style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Penjumlahan dan pengurangan memiliki kedudukan yang sama. Apabila dalam pengerjaan hitung terdapat penjumlahan dan pengurangan, maka yang dikerjakan terlebih dahulu adalah pengerjaan yang berada di sebelah kiri dahulu.</span></li></ul><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Untuk mempermudah operasi hitung campuran pecahan berbeda bentuk menurut saya sebaiknya pecahan dirubah ke bentuk pecahan biasa atau pecahan desimal (seperti diminta dalam soal) terlebih dahulu. Hasil pengerjaan hitung juga sebaiknya langsung disederhanakan sehingga tidak menyulitkan dalam pengerjaan hitung tersebut. Berikut ini adalah contoh soal pengejaan hitung campuran bilangan pecahan :</span><br /><span style="font-family: Georgia, Times New Roman, serif;"><b>Contoh 1 :</b></span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 120px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="15px"><span style="font-family: Georgia, 'Times New Roman', serif;">(3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">) :</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">0,5</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;">Ubah semua pecahan ke bentuk biasa :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 120px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="15px">(</td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">15</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">) :</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">10</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pembagian merupakan kebalikan dari perkalian, sehingga salah satu pecahan dibalik (pembilang jadi penyebut dan penyebut menjadi </span><span style="font-family: Georgia, 'Times New Roman', serif;">pembilang</span><span style="font-family: Georgia, 'Times New Roman', serif;">, operasi hitungnya juga berubah dari pembagian menjadi perkalian)  sehingga diperoleh bentuk seperti di bawah ini.</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 120px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="15px">(</td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">15</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">) x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">10</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Sederhanakan pecahan untuk memudahkan pengerjaan, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 120px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="15px">(</td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">15</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">) x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">1</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Selanjutnya mulai pengerjaan hitungnya, yaitu pengerjaan hitung di dalam kurung, dan seterusnya, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 200px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">30</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;"> x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"> =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">60</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"> =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">10</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, 'Times New Roman', serif;">atau 5</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">2</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;"><b>Contoh 2 :</b></span><br /><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Persediaan gula di rumah Bu Ida sebanyak 3 ½ kg. Bu ida membeli lagi sebanyak 0,75 kg. Gula tersebut digunakan untuk membuat sirop sebanyak 2  1/6</span><span style="font-family: Georgia, 'Times New Roman', serif;"> kg. Sisa persediaan gula Bu Ida adalah...kg.</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Pembahasan :</span><br /><span style="font-family: Georgia, 'Times New Roman', serif;">Dari soal tersebut diperoleh pengerjaan hitung sebagai berikut :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 160px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"> 3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, 'Times New Roman', serif;"> + 0,75 - 2</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">2</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">6</span></td></tr></tbody></table><div style="text-align: left;"><span style="font-family: Georgia, 'Times New Roman', serif;">Ubah semua pecahan ke bentuk biasa :</span><br /><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Dari soal tersebut diperoleh pengerjaan hitung sebagai berikut :</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 70px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">+</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">75</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">- </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">13</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">2</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">100</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">6</span></td></tr></tbody></table><div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Sederhanakan pecahan untuk memudahkan pengerjaan, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div></div></div></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 70px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">+</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">- </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">13</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">2</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">6</span></td></tr></tbody></table><div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Samakan penyebut pecahan untuk memudahkan pengerjaan, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 170px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">42</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">+</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">9</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"> - </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">26</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">51</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"> - </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">26</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">25</span></td><td rowspan="2" style="text-align: center;" width="40px"><span style="font-family: Georgia, 'Times New Roman', serif;">=2</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">12</span></td></tr></tbody></table><div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;"><b>Contoh 3 :</b></span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 120px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">5,4 :</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">9</span></td></tr></tbody></table><div style="text-align: left;"><div style="text-align: justify;"><div style="text-align: left;"><span style="font-family: Georgia, 'Times New Roman', serif;">Ubah semua pecahan ke bentuk biasa :</span></div><div><span style="font-family: Georgia, 'Times New Roman', serif;">Dari soal tersebut diperoleh pengerjaan hitung sebagai berikut :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 130px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">54</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">:</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">18</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">10</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">9</span></td></tr></tbody></table></div></div></div></div></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pembagian merupakan kebalikan dari perkalian, sehingga salah satu pecahan dibalik (pembilang jadi penyebut dan penyebut menjadi pembilang, operasi hitungnya juga berubah dari pembagian menjadi perkalian) sehingga diperoleh bentuk seperti di bawah ini.</span></div><div dir="ltr" trbidi="on"><div dir="ltr" trbidi="on"><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 130px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">54</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">10</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">18</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">9</span></td></tr></tbody></table></div></div></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Sederhanakan pecahan untuk memudahkan pengerjaan, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 130px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">27</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">18</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">9</span></td></tr></tbody></table></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Kalikan pembilang dengan pembilang, penyebut dengan penyebut kemudian sederhanakan, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 350px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">27</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">x</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="70px"><span style="font-family: Georgia, 'Times New Roman', serif;">27 x 5 x 7</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">945</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">= 1</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">135</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">= 1</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">18</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">9</span></td><td style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">5 x 18 x 9</span></td><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">810 </span></td><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">810 </span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">6 </span></td></tr></tbody></table></div><b style="font-family: Georgia, 'Times New Roman', serif; text-align: justify;">Contoh 4 :</b><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 150px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;"><complete id="goog_1385390340">+ </complete>3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="40px"><span style="font-family: Georgia, 'Times New Roman', serif;">x 3,8 <complete id="goog_1385390343">-</complete></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td></tr></tbody></table><div><div style="text-align: justify;"><div style="text-align: left;"><div><span style="font-family: Georgia, 'Times New Roman', serif;">Ubah semua pecahan ke bentuk biasa :</span></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Dari soal tersebut diperoleh pengerjaan hitung sebagai berikut :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 140px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"><complete id="goog_1385390340">+</complete></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">15</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"><complete id="goog_1385390340">x</complete></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">38</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;"><complete id="goog_1385390340">-</complete></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">10</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td></tr></tbody></table></div></div></div></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Operasi hitung yang pertama dilakukan adalah perkalian, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span></div><div><div style="text-align: justify;"><div style="text-align: left;"><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 120px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">+</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">570</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">-</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td></tr></tbody></table></div></div></div></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Sederhanakan dan samakan penyebut pecahan untuk memudahkan pengerjaan, sehingga diperoleh bentuk pengerjaan seperti di bawah ini :</span><br /><div style="text-align: left;"><div style="text-align: justify;"><div style="text-align: left;"><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 400px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">+</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">57</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">-</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">25</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">+</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">250</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">-</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">32</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">275</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">-</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">32</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">=</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">243</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">= 6</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">40</span></td></tr></tbody></table></div></div></div></div></div></div>

Operasi Hitung Campuran Pecahan Berbeda Bentuk

Operasi Hitung Campuran Pecahan Berbeda Bentuk. Pengerjaan hitung bilangan pecahan meliputi penjumlahan, pengurangan, perkalian, dan pembagi...

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Mengurutkan Pecahan Berbeda Bentuk

<div dir="ltr" style="text-align: left;" trbidi="on"><div style="text-align: justify;"><span style="text-align: left;"><span style="font-family: Georgia, Times New Roman, serif;">Mengurutkan Pecahan Berbeda Bentuk. Bilangan pecahan adalah bilangan yang dapat dinyatakan sebagai p/q, dengan p dan q adalah bilangan bulat dan q ≠0. Bilangan p disebut pembilang dan bilangan q disebut penyebut. Pecahan dapat dikatakan senilai apabila pecahan tersebut mempuyai nilai atau bentuk paling sederhana sama.</span></span></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;"><br /></span> <span style="font-family: Georgia, Times New Roman, serif;">Beberapa bentuk pecahan antara lain sebagai berikut :</span></div><div style="text-align: justify;"></div><ul><li style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pecahan Biasa. Yaitu pecahan dengan pembilang dan penyebutnya merupakan <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPChKhPGt9jQ0xdBfC2CLNuZRhJbo3fSb48F2wMfwXJiL84niQKth6Z6OzK0mFJnks8T9vd_Hwz4xcJATzRR6ValbxJKfODiSfdedXDf5MKZZAUta2S-0VeCBhwE0KvIsQZYtAZm3IS_D6/s1600/pecahan.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPChKhPGt9jQ0xdBfC2CLNuZRhJbo3fSb48F2wMfwXJiL84niQKth6Z6OzK0mFJnks8T9vd_Hwz4xcJATzRR6ValbxJKfODiSfdedXDf5MKZZAUta2S-0VeCBhwE0KvIsQZYtAZm3IS_D6/s1600/pecahan.png" /></a></div>bilangan bulat. Contoh: 1/4 , 2/5 , 9/10</span></li><li style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pecahan Murni. Yaitu pecahan yang pembilang dan penyebutnya merupakan bilangan bulat dan berlaku pembilang kurang atau lebih kecil dari penyebut. Pecahan murnai dapat dikatakan sebagai pecahan biasa tetapi pecahan biasa belum tentu dapat dikatakan sebagai pecahan murni. Contoh: 1/6 , 3/5, 7/15</span></li><li style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pecahan campuran. Pecahan yang terdiri atas bagian bilangan bulat dan bagian pecahan murni. Contoh: 3 ½, 4 ½, 5 ¾,</span></li><li style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Pecahan desimal. Yaitu pecahan dengan penyebut 10, 100, 1000, dan seterusnya, dan ditulis dengan tanda koma. Contoh: 0,4; 4,6; 9,2</span></li><li style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Persen atau perseratus. Yaitu pecahan dengan penyebut 100 dan dilambangkan dengan %. Contoh: 4% artinya 4/100, 35% artinya 35/100</span></li><li style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Permil atau perseribu. Yaitu pecahan dengan penyebut 1.000 dan dilambangkan dengan%0. Contoh: 8%0 artinya 8/1000 125%0 artinya 125/1000</span></li></ul><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Pecahan dapat diurutkan dari yang terbesar atau dari yang terkecil. Ada beberapa cara mengurutkan pecahan, cara termudah menurut saya adalah dengan mengubah bentuk pecahan ke bentuk pecahan desimal. Mengubah pecahan ke bentuk desimal dapat dilakukan dengan cara </span><span style="font-family: Georgia, 'Times New Roman', serif;">ubah semua pecahan ke bentuk biasa terlebih dahulu, kemudian </span><span style="font-family: Georgia, 'Times New Roman', serif;">membagi pembilang dengan penyebut.</span></div><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Contoh 1 :</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 270px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="80px"><span style="font-family: Georgia, 'Times New Roman', serif;">0,09; 1,2% ;</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="20px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">;</span></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">;</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">0,15</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">20</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">10</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Ubah pecahan-pecahan tersebut ke bentuk pecahan biasa terlebih dahulu (0,09 dan 0,15 tidak perlu diubah karena sudah berbentuk pecahan desimal).</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 220px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, 'Times New Roman', serif;">1,2%  =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">12</span></td><td rowspan="2" style="text-align: center;" width="20px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">=</span></span></td><td rowspan="2" style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">0, 012</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">1000</span></td></tr></tbody></table><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 90px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, 'Times New Roman', serif;"> = 0,05</span></td></tr><tr><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">20</span></td> </tr></tbody></table><table border="0" cellpadding="1" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 90px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, 'Times New Roman', serif;"> = 0,4</span></td></tr><tr><td style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">10</span></td> </tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diperoleh pecahan desimal sebagai berikut : 0,09; 0,012, 0,4; dan 0,15,  Apabila pecahan desimal tersebut diurutkan dari yang terbesar ke terkecil diperoleh urutan sebagai berikut : </span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; margin-left: 0em; text-align: justify; width: 550px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="260px"><span style="font-family: Georgia, 'Times New Roman', serif;">0,09➂; 0,012➄; 0,05➃; 0,4➀; 0,15➁  atau</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td><td rowspan="2" style="text-align: center;" width="90px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">; 0,15; 0,09; </span></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">;</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">1,2%</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">10</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">20</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;">Contoh 2 :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 200px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="80px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">; 3,25 ; 75% ;</span></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">23</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Ubah pecahan-pecahan tersebut ke bentuk pecahan biasa terlebih dahulu (3,25 tidak perlu diubah karena sudah berbentuk pecahan desimal).</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 160px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="10px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">= </span></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">25</span></td><td rowspan="2" style="text-align: center;" width="40px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">= 3,125 </span></span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">8</span></td></tr></tbody></table><div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 160px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="40px"><span style="font-family: Georgia, Times New Roman, serif;">75% =</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">75</span></td><td rowspan="2" style="text-align: center;" width="10px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">= </span></span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, 'Times New Roman', serif;">0,75</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">100</span></td></tr></tbody></table></div></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 70px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">23</span></td><td rowspan="2" style="text-align: center;" width="40px"><span style="font-family: Georgia, 'Times New Roman', serif;">= 4,6</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td></tr></tbody></table><div></div><div dir="ltr" trbidi="on"><div style="text-align: justify;"><span style="font-family: Georgia, 'Times New Roman', serif;">Diperoleh pecahan desimal sebagai berikut : 3,125; 3,25, 0,75; dan 4,6,  Apabila pecahan desimal tersebut diurutkan dari yang terkecil ke terbesar diperoleh urutan sebagai berikut : </span></div></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; margin-left: 0em; text-align: justify; width: 450px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="210px"><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">3,125</span><span style="font-family: Georgia, 'Times New Roman', serif;">➁</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">; 3,25</span><span style="font-family: Georgia, 'Times New Roman', serif;">➂;</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">0,75</span><span style="font-family: Georgia, 'Times New Roman', serif;">➀</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">;  4,6</span><span style="font-family: Georgia, 'Times New Roman', serif;">➃</span><span style="font-family: Georgia, 'Times New Roman', serif;">  atau</span></td><td rowspan="2" style="text-align: center;" width="40px"><span style="font-family: Georgia, 'Times New Roman', serif;">75%; 3</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">1</span></td><td rowspan="2" style="text-align: center;" width="40px"><span id="s2"><span style="font-family: Georgia, 'Times New Roman', serif;">; 3,25;</span></span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">23</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;">Contoh 3 :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 150px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">; 65%;</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">1</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">; 0,57</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Ubah pecahan-pecahan tersebut ke bentuk pecahan biasa terlebih dahulu (0,57 tidak perlu diubah karena sudah berbentuk pecahan desimal).</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 70px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, Times New Roman, serif;">= 0,75</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td></tr></tbody></table><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 140px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">65% = </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">65</span></td><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">= 0,65</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">100</span></td></tr></tbody></table><div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 130px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">1</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;"> = </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">7</span></td><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, Times New Roman, serif;">= 1,75</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td></tr></tbody></table></div></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diperoleh pecahan desimal sebagai berikut : 0,75; 0,65, 1,75; dan 0,57, Apabila pecahan desimal tersebut diurutkan dari yang terkecil ke terbesar diperoleh urutan sebagai berikut : </span><span style="font-family: Georgia, 'Times New Roman', serif;"> </span></div><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; margin-left: 0em; text-align: justify; width: 420px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="220px"><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">0.75</span><span style="font-family: Georgia, 'Times New Roman', serif;">➁</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">; 0,65</span><span style="font-family: Georgia, 'Times New Roman', serif;">➂;</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">1,75</span><span style="font-family: Georgia, 'Times New Roman', serif;">➃</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">;  0,57</span><span style="font-family: Georgia, 'Times New Roman', serif;">➀</span><span style="font-family: Georgia, 'Times New Roman', serif;">  atau 0,57; 0,65; </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td><td rowspan="2" style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">; 1</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">3</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">4</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">4</span></td></tr></tbody></table></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; margin-left: 0em; text-align: justify; width: 640px;"><tbody><tr><td style="text-align: center;" width="330px"><br /><script language="JavaScript"> window.defaultStatus="Let count your number" function tambah() { a=eval(form.a.value) b=eval(form.b.value) c=a+b form.hasil.value = c } function kurang() { a=eval(form.a.value) b=eval(form.b.value) c=a-b form.hasil.value=c } function kali() { a=eval(form.a.value) b=eval(form.b.value) c=a*b form.hasil.value=c } function bagi() { a=eval(form.a.value) b=eval(form.b.value) c=a/b form.hasil.value = c } function pangkat() { a=eval(form.a.value) c=Math.pow(a,3) form.hasil.value = c form.b.value = "Pangkat 3" } function akar() { a=eval(form.a.value) c=Math.sqrt(a) form.hasil.value = c form.b.value = "Akar pangkat 2" } function kosong() { form.a.focus() form.a.value="" form.b.value="" form.hasil.value="" } </script><br /><form name="form"><table border="1" cellpadding="1" cellspacing="2" style="background-color: transparent; border-collapse: collapse; border: 1px solid #336699; margin: 0em 0em 0em 0px; text-align: justify;"><tbody><tr><td style="background-color: ivory; width: 220px;" valign="top"><span style="font-family: Georgia, Times New Roman, serif;">Angka1<input name="a" type="text" /><br />Angka2<input name="b" type="text" /><br />Hasil     <input disabled="true" name="hasil" text="" type="" /></span></td><td style="background-color: ivory; width: 110px;" valign="top"><span style="font-family: Georgia, Times New Roman, serif;"><input onclick="kosong()" type="button" value="Del" /><input onclick="tambah()" type="button" value="+" /><input onclick="kurang()" type="button" value="-" /><input onclick="kali()" type="button" value="x" /><input onclick="bagi()" type="button" value="/" /><input onclick="pangkat()" type="button" value="³" /><input onclick="akar()" type="button" value="²√" /></span></td></tr></tbody></table></form></td><td rowspan="2" style="text-align: justify;" valign="top" width="310px"><span style="font-family: Georgia, 'Times New Roman', serif;"><br /></span> <span style="font-family: Georgia, 'Times New Roman', serif;">Untuk memudahkan pembagian silahkan gunakan kalkulator sederhana ini . Untuk membagi bilangan silahkan masukan angka 1 dan angka 2 lalu pilih operasi hitung pada bagian kanan. Hasil akan terlihat pada kolom hasil.</span></td></tr></tbody></table><span style="font-family: Georgia, Times New Roman, serif;">Contoh 4 :</span><br /><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 210px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">12,5%; 0,35; </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">; 0,64;</span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td></tr></tbody></table><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Ubah pecahan-pecahan tersebut ke bentuk pecahan biasa terlebih dahulu (0,35 dan 0,64 tidak perlu diubah karena sudah berbentuk pecahan desimal).</span></div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 140px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="50px"><span style="font-family: Georgia, Times New Roman, serif;">12,5%= </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">125</span></td><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">=0,125</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">1000</span></td></tr></tbody></table><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 80px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">= 0,4</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">5</span></td></tr></tbody></table><div><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; text-align: justify; width: 80px;"><tbody><tr><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="20px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="60px"><span style="font-family: Georgia, Times New Roman, serif;">= 0,625</span></td></tr><tr><td style="text-align: center;" width="20px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td></tr></tbody></table></div></div><div style="text-align: justify;"><span style="font-family: Georgia, Times New Roman, serif;">Diperoleh pecahan desimal sebagai berikut : 0,125; 0,35, 0,4; 0,64 dan 0,625,  Apabila pecahan desimal tersebut diurutkan dari yang terbesar ke terkecil diperoleh urutan sebagai berikut : </span><span style="font-family: Georgia, 'Times New Roman', serif;"> </span></div><div style="text-align: justify;"><table border="0" cellpadding="2" cellspacing="0" style="background-color: #f8f8f8; color: black; line-height: 17px; margin-left: 0em; text-align: justify; width: 525px;"><tbody><tr><td rowspan="2" style="text-align: center;" width="215px"><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">0.125</span><span style="font-family: Georgia, 'Times New Roman', serif;">➄</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">; 0,35</span><span style="font-family: Georgia, 'Times New Roman', serif;">➃</span><span style="font-family: Georgia, 'Times New Roman', serif;">;</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">0,4</span><span style="font-family: Georgia, 'Times New Roman', serif;">➂</span><span style="font-family: Georgia, 'Times New Roman', serif; line-height: normal; text-align: justify;">;  0,64</span><span style="font-family: Georgia, 'Times New Roman', serif;">➁</span><span style="font-family: Georgia, 'Times New Roman', serif;">;0,625</span><span style="font-family: Georgia, 'Times New Roman', serif;">➀</span><span style="font-family: Georgia, 'Times New Roman', serif;">  atau </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td><td rowspan="2" style="text-align: center;" width="30px"><span style="font-family: Georgia, Times New Roman, serif;">; 0,64; </span></td><td style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: solid; border-bottom-width: 2px; text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">2</span></td><td rowspan="2" style="text-align: center;" width="70px"><span style="font-family: Georgia, Times New Roman, serif;">; 0,35; 12,5%</span></td></tr><tr><td style="text-align: center;" width="10px"><span style="font-family: Georgia, Times New Roman, serif;">8</span></td><td style="text-align: center;" width="10px"><span style="font-family: Georgia, 'Times New Roman', serif;">5</span></td></tr></tbody></table></div></div>

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